1005525 has 36 divisors (see below), whose sum is σ = 1861860. Its totient is φ = 518400.

The previous prime is 1005503. The next prime is 1005527. The reversal of 1005525 is 5255001.

It can be written as a sum of positive squares in 6 ways, for example, as 101124 + 904401 = 318^2 + 951^2 .

It is not a de Polignac number, because 1005525 - 2⁵ = 1005493 is a prime.

It is a super-2 number, since 2×1005525² = 2022161051250, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1005498 and 1005507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9171 + ... + 9279.

2^1005525 is an apocalyptic number.

1005525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005525 is a deficient number, since it is larger than the sum of its proper divisors (856335).

1005525 is a wasteful number, since it uses less digits than its factorization.

1005525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 1005525 is about 1002.7586948015. The cubic root of 1005525 is about 100.1838285303.

It can be divided in two parts, 100 and 5525, that added together give a square (5625 = 75²).

The spelling of 1005525 in words is "one million, five thousand, five hundred twenty-five".